What is the answer to 16^{3x-1}=8^{x+2} ?

The answer to 16^{3x-1}=8^{x+2} is x= 10/9

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16^{3x-1}=8^{x+2}

1 6^{3 x - 1} = 8^{x + 2}

x = \frac{10}{9}

Solution steps

1 6^{3 x - 1} = 8^{x + 2}

Apply exponent rules

4 (3 x - 1) = 3 (x + 2)

Solve

4 (3 x - 1) = 3 (x + 2) : x = \frac{10}{9}

x = \frac{10}{9}

e^{x} = - 4

e^{x} = 16

3^{2 x - 3} - 4 \cdot 3^{x - 2} + 1 = 0

2 (3)^{2 x} = 5

7^{2 x} - 8 \cdot 7^{x} + 7 = 0

What is the answer to 16^{3x-1}=8^{x+2} ?
The answer to 16^{3x-1}=8^{x+2} is x= 10/9
Solve for x: 16^{3x-1}=8^{x+2}
The solution is x= 10/9